{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd \n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#导入数据\n",
    "train_data = pd.read_csv(\"D:\\\\下载\\\\data\\\\train.csv\", sep=' ')\n",
    "test_data = pd.read_csv(\"D:\\\\下载\\\\data\\\\testA.csv\", sep=' ')"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据预处理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#由于使用的是和实验2一样的数据集，所以我采用相同的处理方式\n",
    "train_data = train_data.dropna(axis = 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_data['notRepairedDamage'].replace('-', np.nan, inplace=True)\n",
    "test_data['notRepairedDamage'].replace('-', np.nan, inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "#这两个类别特征严重倾斜，一般不会对预测有什么帮助，所以我选择删掉\n",
    "del train_data[\"seller\"]\n",
    "del train_data[\"offerType\"]\n",
    "del test_data[\"seller\"]\n",
    "del test_data[\"offerType\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_data = train_data.dropna(axis = 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 118326 entries, 0 to 149999\n",
      "Data columns (total 29 columns):\n",
      " #   Column             Non-Null Count   Dtype  \n",
      "---  ------             --------------   -----  \n",
      " 0   SaleID             118326 non-null  int64  \n",
      " 1   name               118326 non-null  int64  \n",
      " 2   regDate            118326 non-null  int64  \n",
      " 3   model              118326 non-null  float64\n",
      " 4   brand              118326 non-null  int64  \n",
      " 5   bodyType           118326 non-null  float64\n",
      " 6   fuelType           118326 non-null  float64\n",
      " 7   gearbox            118326 non-null  float64\n",
      " 8   power              118326 non-null  int64  \n",
      " 9   kilometer          118326 non-null  float64\n",
      " 10  notRepairedDamage  118326 non-null  object \n",
      " 11  regionCode         118326 non-null  int64  \n",
      " 12  creatDate          118326 non-null  int64  \n",
      " 13  price              118326 non-null  int64  \n",
      " 14  v_0                118326 non-null  float64\n",
      " 15  v_1                118326 non-null  float64\n",
      " 16  v_2                118326 non-null  float64\n",
      " 17  v_3                118326 non-null  float64\n",
      " 18  v_4                118326 non-null  float64\n",
      " 19  v_5                118326 non-null  float64\n",
      " 20  v_6                118326 non-null  float64\n",
      " 21  v_7                118326 non-null  float64\n",
      " 22  v_8                118326 non-null  float64\n",
      " 23  v_9                118326 non-null  float64\n",
      " 24  v_10               118326 non-null  float64\n",
      " 25  v_11               118326 non-null  float64\n",
      " 26  v_12               118326 non-null  float64\n",
      " 27  v_13               118326 non-null  float64\n",
      " 28  v_14               118326 non-null  float64\n",
      "dtypes: float64(20), int64(8), object(1)\n",
      "memory usage: 27.1+ MB\n",
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 50000 entries, 0 to 49999\n",
      "Data columns (total 28 columns):\n",
      " #   Column             Non-Null Count  Dtype  \n",
      "---  ------             --------------  -----  \n",
      " 0   SaleID             50000 non-null  int64  \n",
      " 1   name               50000 non-null  int64  \n",
      " 2   regDate            50000 non-null  int64  \n",
      " 3   model              50000 non-null  float64\n",
      " 4   brand              50000 non-null  int64  \n",
      " 5   bodyType           48587 non-null  float64\n",
      " 6   fuelType           47107 non-null  float64\n",
      " 7   gearbox            48090 non-null  float64\n",
      " 8   power              50000 non-null  int64  \n",
      " 9   kilometer          50000 non-null  float64\n",
      " 10  notRepairedDamage  41969 non-null  object \n",
      " 11  regionCode         50000 non-null  int64  \n",
      " 12  creatDate          50000 non-null  int64  \n",
      " 13  v_0                50000 non-null  float64\n",
      " 14  v_1                50000 non-null  float64\n",
      " 15  v_2                50000 non-null  float64\n",
      " 16  v_3                50000 non-null  float64\n",
      " 17  v_4                50000 non-null  float64\n",
      " 18  v_5                50000 non-null  float64\n",
      " 19  v_6                50000 non-null  float64\n",
      " 20  v_7                50000 non-null  float64\n",
      " 21  v_8                50000 non-null  float64\n",
      " 22  v_9                50000 non-null  float64\n",
      " 23  v_10               50000 non-null  float64\n",
      " 24  v_11               50000 non-null  float64\n",
      " 25  v_12               50000 non-null  float64\n",
      " 26  v_13               50000 non-null  float64\n",
      " 27  v_14               50000 non-null  float64\n",
      "dtypes: float64(20), int64(7), object(1)\n",
      "memory usage: 10.7+ MB\n"
     ]
    }
   ],
   "source": [
    "#查看是否存在异常\n",
    "train_data.info()\n",
    "test_data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='v_0', ylabel='price'>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.scatterplot(x = 'v_0', y = 'price', data = train_data)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## k-means聚类"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "d:\\kaka\\python\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {color: black;background-color: white;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>KMeans(n_clusters=5, random_state=10)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">KMeans</label><div class=\"sk-toggleable__content\"><pre>KMeans(n_clusters=5, random_state=10)</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "KMeans(n_clusters=5, random_state=10)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "model = KMeans(n_clusters=5,random_state=10)\n",
    "model.fit(train_data[['price','v_0']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "#定义聚类标签\n",
    "train_data['cluster'] = model.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='v_0', ylabel='price'>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.scatterplot(x = 'v_0', y = 'price', hue = 'cluster', data = train_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "#由于数据量过大，所以截取数据前1000行\n",
    "train_data = train_data.head(1000)\n",
    "test_data = test_data.head(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "d:\\kaka\\python\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
      "  warnings.warn(\n",
      "d:\\kaka\\python\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:1382: UserWarning: KMeans is known to have a memory leak on Windows with MKL, when there are less chunks than available threads. You can avoid it by setting the environment variable OMP_NUM_THREADS=4.\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='v_0', ylabel='price'>"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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LcA3wPvAicCrwEnAV0CmlrBZCXAz8BrhopG9o+ZIV/OfvL9LZ0klGbgZnful05iweLDX90AkhcLlcQHzPrWg0SiJeKoqiHNJGo2vrbOD+xOP7gXP6lD8mpQxLKXcC24C5QogCwCOlfE/Gl34/0O+cPdd6EjhRjPCn7/IlK3j0t0/Q2dwJEjqbO3n0t0+wfMmKYV9b0zSmT59Obm4uixcvVtvIK4pyWBjpQCKBV4UQK4UQ1yTK8qSUjQCJn7mJ8iKgts+5dYmyosTj/uUp50gpY0A3kNW/EkKIa4QQK4QQK1pbW4d1Q//5+4tEw9GUsmg4yn/+Pvx9sYxGI6tXr6auro5ly5axbt26YV9TURRlpI10IFkopZwJnAZcL4Q4dh/HDtaSkPso39c5qQVS3i2lnC2lnJ2Tk/Nxdd6nzpbO/Sr/JNLT0znuuON4+eWXD9g1FUVRRsqIBhIpZUPiZwvwb2Au0JzoriLxsyVxeB1Q0uf0YqAhUV48SHnKOUIIE5AGdIzEveyRkZuxX+VD1draSldXFwDBYJDXXnuN8ePVfl6Kohz6RiyQCCGcQgj3nsfAycA64Dng8sRhlwPPJh4/B1ycmIlVAYwBliW6v7xCiHmJ8Y/L+p2z51rnA0vlCG+he+aXTsdsNaeUma1mzvzS6cO6bmNjI8cffzxTp05lzpw5LF68mDPOOGNY11QURTkYRnLWVh7w78TYtwl4REr5shBiOfCEEOIqYDdwAYCUcr0Q4glgAxADrk/M2AK4FvgnYCc+W+ulRPm9wINCiG3EWyIXj+D9ACRnZx3oWVtTp05l1apVB6KKiqIoB5X4tOXAmD17tlyxInWG1caNG5kwYcIo1WjoDpd6Kopy5BFCrJRSDvqNWa1sVxRFUYZFBRJFURRlWFQgURRFUYZFBRJFURRlWFQgURRFUYZFBZJDjKZpzJgxQ60hURRlr7RwmFBHK77anYQ729GjkVGtz8HY/VfZD3/84x+ZMGECPT09o10VRVEOQXoshr+uhpjfC0Cksx1LRhbOwlKE0TgqdVItkk/ghWeWcMqCC5lWfhynLLiQF55ZckCuW1dXxwsvvMCXvvSlA3I9RVGOPFo4SMzvRZjMYEsHWzpRXw9aJDxqdVItkv30wjNL+PmNtxEKxv9ojfXN/PzG2wD4zDmLh3Xtb37zm9x66614vd5h11NRlCOT1CWYHbTW+9nw0nvoms64E6ZRlhPGZXeMSp1Ui2Q/3XHrPckgskcoGOaOW+8Z1nWff/55cnNzmTVr1rCuoyjKkc1ks+HzSlY/+Q4Rf4hYKML6F5fTsrl+1OqkAsl+ampo2a/yoXrnnXd47rnnKC8v5+KLL2bp0qVceumlw7qmoihHHoPZQtOGugHlO99ejxbTBjlj5KlAsp/yC3P3q3yofv3rX1NXV0dNTQ2PPfYYJ5xwAg899NCwrqkoypHJlZs+oMxTmInBODof6SqQ7Kevf+9qbHZrSpnNbuXr37t6lGqkKMqnTdG0Kqzu3vEQk81C1bFTGeFM43ulBtv3054B9TtuvYemhhbyC3P5+veuHvZAe1/HHXccxx133AG7nqIoR5a0omxO+M4FdNa2InWd9OIc0goHZBk/aFQg+QQ+c87iAxo4FEUZHVpMw9vUQbDbjyPDhTsvtXtI6jqxgJ9Y0I/BZMLkcGG02kaxxr3ceRm484aXmfVAUYFEUZQjmhaN4W3pIhII4cxKw5npBkDXNHa9v5GVj7yO1CXCYOCoL55MyexxyS6iiLcb/67tyWsZLBbcFWMPmWByqFCBJEFKOWr9i0PxaUtApigHQjQcYfuba/nomXeQusTqdrDw2jPJriygp6mTlY8sja/LIN76WP7Aa6SX5uHJy0CPRQk2ps6O0iMRYsGACiT9qMF2wGaz0d7efsh+WEspaW9vx2ZT//Eqyv7ormtj7dNvJ4NF2Btg5cOvEfYHCfUEkLqecrwWjRH2BoD4wj8Ziw24ptRGZ4rtoWzEWyRCCCOwAqiXUp4hhMgEHgfKgRrgQillZ+LYm4CrAA34upTylUT5LHpztr8IfENKKYUQVuABYBbQDlwkpazZ3zoWFxdTV1dHa2vrMO50ZNlsNoqLi0e7GooyKqSuEwv6iQUDGIwmTA7nkFoFgfaBe9Z117cT9gZxZLgxmo1o0d7AYHZYsae7ADCYzVizcgi1NqWcb7Lbh3k3R54hBxIhRBkwRkr5mhDCDpiklEPZy+MbwEbAk3h+I/C6lPIWIcSNieffF0JMBC4GJgGFwGtCiLFSSg34C3AN8D7xQHIq8BLxoNMppawWQlwM/Aa4aKj3tIfZbKaiomJ/T1MU5SCJervxpYxVWHFXjPnYYGLP9Awo8xRkYnXZsThszPvS6Sz756tEg2EsThvzrjoNV3YaAEIIrFm5YDAQbm/FYLHgyCvCaHce2Js7AgwpkAghrib+QZ4JVAHFwF+BEz/mvGLgM8DNwA2J4rOB4xKP7wfeAL6fKH9MShkGdgohtgFzhRA1gEdK+V7img8A5xAPJGcDP0tc60ngTiGEkIdqH5WiKPtNj0UJDBirCKMNYawivSiLyWfNZ/1/3iejPI+c6kJK54zD6oq3KoqmVbH4B5cQ8gawpzlxZqUGHqPFgiOvEFtmDhgMGEZpd91D3VBbJNcDc4EPAKSUW4UQQ1nKfTvwPcDdpyxPStmYuE5jn+sUEW9x7FGXKIsmHvcv33NObeJaMSFEN5AFtPWthBDiGuKBkNLS0iFUW1GUQ4XUJXosOqBc7ze+MRiz3crYxbOonD+OSHcbejCAyRhCCwUx2uLBxJWThisnbZ/XMZjNn6zynxJDHWwPSymTmVOEECZgn9/6hRBnAC1SypVDfI/BpkzJfZTv65zUAinvllLOllLOzsnJGWJ1FEU5FBjM5niLoB+TbWhjFUJqBJt2EevpQo9GiLS34qutQR9kIH1fpJTEAn5C7a2EO9uJhYL7df6RbKgtkjeFED8A7EKIxcB1wH8+5pyFwFlCiNMBG+ARQjwENAshChKtkQJgz26HdUBJn/OLgYZEefEg5X3PqUsEtzSgY4j3pCjKYUAIgTU7F4Qg3NGGwWzBUVCEcYhbpmvhMDKa2qLRgn60SAiDyTXkesT8Prw7t0Ci51yYTHgqxyVbNvsSCYQQQmDut73SkWKoLZIbgVbgI+DLxAe8f7SvE6SUN0kpi6WU5cQH0ZdKKS8FngMuTxx2OfBs4vFzwMVCCKsQogIYAyxLdIN5hRDzRHyhx2X9ztlzrfMT76HGRxTlCGO0WLHnF5E2diLuqrGY3WlDXvclDIMfJ8TQVz9IXSfY0pgMIgAyFiPi23cm04g/RM0HG1l62xP893dPUrdqG7HwwG66w91QWyR24D4p5T2QnNJrBwKf4D1vAZ4QQlwF7AYuAJBSrhdCPAFsAGLA9YkZWwDX0jv996XEP4B7gQcTA/MdxAOWoihHICEEwmzZ7/OMVhtmTzrRnq5kmTU7d78WFUqpIwfJi96/pdNf86bdLPvHK8nn7/7teY79+jnkTywf8nsfDoYaSF4HTgJ8ied24FVgwVBOllK+QXx2FlLKdvYy20tKeTPxGV79y1cAkwcpD5EIRIqiKIMxmMw4CkuIpWeihYKY7A6MDhfCMPQWicFowpqVQ6ChNqXc7Bo4vXgPXdPZ9saaAeW1K7d+agOJTUq5J4ggpfQJIUYnp6OiKMp+MlqsGC3DG5+wpGUgdZ1QWzPCYMSeX4TJsfc1JUIIbGkDPyb7bv9+pBhqIPELIWZKKT+E5EpzNWVBUZRPDYPZgj23AGtGFgiBwbTvKcHCIBhz3AzqV21H1+JTlU1WM8Uzqg9GdQ+qoQaSbwL/EkLsmS1VwCdYQa4oinK4M+zHOE1WZQHHf/dCWrfWYzAayBlTTEbJkbcEYUiBREq5XAgxHhhHfO3GJinlkTf1QFEU5QASBkFWeT5Z5fmjXZURtc9AIoQ4QUq5VAhxXr+XxgghkFI+PYJ1UxRFGRIpdWRMQxgNCMPobGOix2JE/UEMJiNm55E3DrIvH9ciWQQsBc4c5DUJqECiKMqo0kJBgq1NRL3dmBwu7HkFmA7yxorhbi8ty9fSs6MWo81KwYKZuMuLMJg+HSmf9nmXUsqfiviqnZeklE8cpDopiqIMiR6L4aurQQv4AYj2dBEL+PBUTcBoPTiryHVNo33NRnp2xKcGa6EwdUvfo+KsE3HkH3njIYP52InUUkod+OpBqIuiKMp+0SLhZBDZQ8ZiaJHQwatDMEzXtl0DysNd+171fiQZ6oqcJUKI7wghSoQQmXv+jWjNFEVRPsZeFxUKA97mTjpqmgn1fJINOPajDmYTFo97QLnRdmTuqzWYoXbgXUl8TOS6fuWVB7Y6iqIoQ2e0WLHl5KdkMTSnZ1O7uobVj7+JFo3hzElj/pdOJ7Msb0TqYLJayJ8/g90vvZlM3WvPz8aenTEi73coGmogmUg8iBxNPKD8j3hiK0VRlFEjDAZsOXmYnG60UDzRlbc9yMqHXk8e42/tZuUjr7PoG+dhcQx9f6394SzMpfLcxYQ7ezBYzNiy0j9VM7eGGkjuB3qAOxLPP5cou3AkKqUoijJUBpMZiycNPPHkVP4tLQOO6dzVQqgnMGKBRAiBLSsDW9anpxXS11ADyTgp5bQ+z/8rhBi4G5miKMoos6cPnPrrzPaMWBBRhj7YvkoIMW/PEyHEUcA7I1MlRVGUTy6tKJuxi2clnxvNJmZfehI2z+HX1SQ1jcMhxdJQWyRHAZcJIXYnnpcCG4UQHwFSSjl1RGqnKIqynywOG5M+M5eSmdVE/CGc2em489JHu1r7JRYKEulsJ+rtxuxOw5KRNeTUwqNhqIHk1BGthaIoyjBIXYun1NV1jBYrZpuVrIqC0a7WJ6LHovhrd6IF49OWtVCQqK8Hd8WYj91xeLQMddPGgattFEVRDgF6NEqotYlQWzMABqsNV1nVAf0Gr2savtZu9JiGMzsNs23/MzUOlRYOJYNIsiwYQAuFMLgO40CiKIpyqIoFA8kgAqCHQ4RaGnEWl+9XFsS9CfuCbP3vaja9vBxd08mfVMaMC4/DnXfgZ2jFx0P2kmN+L7nnDwXD/y3vhRDCJoRYJoRYI4RYL4T4eaI8UwixRAixNfEzo885NwkhtgkhNgshTulTPksI8VHitTuEECJRbhVCPJ4o/0AIUT5S96MoysElNY1YMEAsFEwu9BuMFh6YYy/q7UaLpOZYD/UEaN1aT/uORiKB8Me+f6i9i87NO2nZuIsNL3yQTE7VtH4X299ai9QP3CC4lJKoz4tv13Yi3Z2YE1OZ9zC70zHsR475g20kWyRh4IREWl4z8LYQ4iXgPOB1KeUtQogbgRuB7wshJgIXA5OAQuA1IcRYKaUG/AW4BngfeJH4mM1LwFVAp5SyWghxMfAbVMItRTnsaeEwgaY6ot2dgMCWnYstJx+DeWDXjtEy8APWaHcS6enEYM7FYDTS09jBu/e8SE9DGwCF0yqZcdFxODMHz7keaO1g1/NLEUYjQUvagNfrVm1jwqlzsboPTPdZLODHu2Nz8rk1MyeeZz4YwOR0Y3a5MRgP3Q6kEWuRyLg9ed7NiX8SOJv4YkYSP89JPD4beExKGZZS7gS2AXOFEAWAR0r5noy3+x7od86eaz0JnLintaIoyuEr0t2RCCIAklBbMzG/d9BjTQ4HlvTerf+EyYzF7SHUVI8eDiF1yY531iWDCEDDmh20bqnb6/t3bd6BHo2hR6I4M10DXs+syMdk3//xCi2m0dPUQXdDO7FIb27AqC91g8dwRyvhrg4chaXYMrOHnW9+pI1oiBNCGIGVQDXwZynlB0KIPCllI4CUslEIkZs4vIh4i2OPukRZNPG4f/mec2oT14oJIbqBLKCtz/EIIa4h3qKhtLT0wN2goigHnK5pRLo6BpRHfF4s6ZlIXU8Z+zCYLViz8jBabUgpkZpGoKk+eS0ZidK0YeB8ofYdTZTPmzigXEpJpDsetKSuYzVJsqsKaNveCIDVZWfCKXMw7meukVBPgM2vrWTLa6uQUqd0zjimnLUAZ3Yag3//FXsZLTn0jGggSXRLTRdCpAP/FkJM3sfhg/3O9jbytKdzcl+v9a3H3cDdALNnzz70V/coyqeYMBgwOlxoodSxD4snjWBzI5GeLsxuD5b0LEy2eLeW0WLB39mOHukd+xAmM0arFYPZTMHkCnoa2lOul11VOPj7C0HG+Er89fEBfN+2nVROK2H8ybMQBiPugkxc2QO7uz5Oy5Y6Nr+6Mvl897LNpBflMP6U2ZhdHoKiEWTvWJA9Nx9hHJ1sj/trxLq2+pJSdgFvEB/baE50V5H4uWdjnDqgpM9pxUBDorx4kPKUc4QQJiANGPhVRlGUw0Z836ocRJ81E9bsXIItTQSb69GCfkItjfhrd6DH4t1DBrMZV1kVZnc6GAyYnB7c5dXxLiEpKT9qbMruv6VzxpEztqj/Wyc5i/LJXzgLk92GyWHHU5JH3vhSCqZUfKIgAgzaKtq9YjOxSBSTw4mnahy2nHwsmTm4Ksdidg3cmv5QNWItEiFEDhCVUnYJIezAScQHw58DLgduSfx8NnHKc8AjQojfEx9sHwMsk1JqQghvYouWD4DLgD/1Oedy4D3gfGCpPBz2E1AUZZ9MdgeeqvFo4SBCGEBAuK3PZoxCYLTZiQWDGK0So8WCye7AVVaBHothMJqS3+YjPV1o7buZ9dmZhIISo9VKekkeZruVWCgYv5bFmtK9ZLJZyZo0Bk9FMSAwH4B9ujJKc6l5d31KWXZVYbKLzORwYnIc3BTBB8pIdm0VAPcnxkkMwBNSyueFEO8BTwghrgJ2AxcASCnXCyGeADYAMeD6RNcYwLXAPwE78dlaLyXK7wUeFEJsI94SuXgE70dRlIPIaLUm0+XG+mZBFAYcBUWE2lqIdLYjTCacxeWY3WkIgxGjpbc7SIuECdTHWwIy5MUqgIgPIbPw1zUT6WoHIbBl52HNzsPYb1aY2XHgFjXmTywlvTiHrrpWAGzpTiqPnnxIrw8ZKvFp+wI/e/ZsuWLFitGuhqIo+0HXYvjrdhPt7sCamU3U24MejWBJz0wOsps96Zj7faOPhYL0bEltBQiTGWtmNqGWxpRyV2llyuyvkRDs8tHd0I6u66QVZOHMGnz68aFICLFSSjl7sNcO3YnJiqJ86unRCFG/j6i3G5PDiTUjEz0SIdzRhjUzBy0USM7wCre34K4Ym9I9ZDCbMTqcKXndTXYH0Z6uAe+1Z1bYSLKnu7CnD5xOfLg7KIPtiqIo+0vqOqHWZvy7dxDpbCfYWEuwqR6T0wUGA8JkSuny2jPtt++KdoMx3u1lcsa/+RvMFqw5eRgHGYsw2Q/d3XUPdapFoijKIUmLhFP20IL4Trh6LIazuHzQBYpaKMjuFVvIGVOMKycdAJPNjqu8Cj0WxWAwYjCbMRhNRHu6kLEYAAabHbPr8OlmOtSoQKIoygElNY1owEe4rRVhNGDNzMHkdO1l0d2+LrSX8VupY/GkgxCE21tTXzPZ2LTkfbwt3biyPexaton8CWUUzxqDO7d3k8X4rLAJ8X26hMBotWO0jNyOvkc6FUgURTmgon4vvpptyeeRrg7cVeMwO/dvXYTRYsWcltFnq5Q9iwztCIMBs9ONPa+IYEsDSImwOulo9ONt7KQ2uoWsinxat9TTuqWeutXbOeb6s1OyJPadFaYMjwokiqIcMFLXB3RHAUS7u4YUSLRIJJ6cymxGGI048ouJ2B1EujowOV1YM3OSH/4Gkwlbbj7hiKBrdzP1726lfvUOANz5Gfjbe/ev6tzVTHd9K3rQjMFoxOTypOQrkbqOFokgBBj6rSlRPp4KJIqijLyP+VyWuk7E202gfhcyFsPk9uAsKMFos2PPLcCWlRsfYO/3AS+EwOxysu1/G+ioiQcws8NK/oRSVv/rrZRjtVCAUHN8cF4YTXiqxmG02dEiEYItjUQ6WuNrSnLysWblJteUaJEIMhaNt4ZU99egVCBRFOWAEQYDtux8fL6+A+ECs2dgEigpJbGAn3BnGzIWxeRwYbTYiMV8xLw9BEQ9rpIKhNE4YM8pqWlE/V7CHW0Ik4ljrjud7oZuouEortx0Nr64LOX4zPI8bE4jUqbjbQ8gNR3p7CCzvIhId2c8iMQrRailEZPNjjE9k6i3G1/tTmQshjCZcZVWqEH5QahAoijKsElNSySg0pBSx1VWjRYKokXDWDOyBt36QwsG4jk4EoPq0Z5u7PlFxIIBhMmElCZ6auow2e1Ys9Iw9RnPiPh68O/a3vu8s52MqnGYHfE1GlPOXkh2dSGNH+0kd3wJ2WUZaDGd9x94g2BnPLuFyWrmpJsuRnpTN3MEiPR0Y3Q48e7aDomkWjIWxbdrO54xEwbNgTIYXYuhBYPosShGixWjzX5AsjYealQgURRlWKSuE+poA10j3NWBHg4BxLunisr2mksj6usZMDMr0tWB2ZNGLAS1r32QfD19bAV586ZjslnRNW3AqnSkJObzJgOJM9tD9aJpVC+aBkCwvZVdK3YkgwhALBxlx9vrqZ5XOiBHutFuj+8k3C8zo9Q09Eh0SIFE12IEmxoIt/fuEeYsrcQ6woseR8ORFxoVRTmotHCIcHsLWiScDCIAMW8PMd/gyaj2xWC107Lso5Qg07VlJ6GOrn2fuI/dnqxp6fg7fAPKmzfuxpKRjeiTfdBgscb37TKaGDC4IwRiiHlItFAwJYgABOp3oYU/Ps3v4UYFEkVRhkVqWnzQuu/GignRRJkWDhFsbaZn5xZCbfGgY3Z5oN/guTU7DyHMxIKhAdfSgvEPYIPRiC23IPVFITC59z4rzGAyUzC5ckB55dGTsThdeKrH4yqrwlVejbtybHyMxGrDUVSScryjqBTjEHOn71nsmFKmaUhdG+Tow5vq2lIU5RMJ+0N017cR9gZweCxYHS60cCi+dYlwEewOYrcJzP4AoaZazA4nJrsTqcUId3WiGay4KscS7uoBLYY1PQ2T04WM6aRNHENUE2gRDavdhL9mN5a03kBhcXkQ5dXJwXaDI53O2k4i/kZcuRmkFWYN2FU3u7qQmZ87gXXPvoMWjTHmxJkUTa8GwGi1DQgQwmDAmpGNye5Ej0YwWKyEA1Ga1u9CGARphVn73DfLYLESb9H0NpWMVhsG85E380sFEkVR9lvYF2TNk29R8/5GIP6he8qPLsLodOHtkrz/j5fQY/Fv3uNOnknVwnGE2xqRWmJLEqsNc2Yh61/4kMZ1O8muLmLsCdNJ95gI+QPUbmyiduXW+LEmIwuuPh1bZjyhVE9jB63b6omGI+RPKMXqdrD2qbfZ9UG8LgajgaOvO4v8SeUpdbbYrVQvmkrh1AqkLnFkuD92C3dhMCQmCjjpbmjjf3c+R6Ajvj4lrTCLBV85I2XFfF/GxNYs/rpdyFgUo92Bs7gMw36m6D0cHHl3pCjKiOuqa00GEYgPuL915/Ms+sY5fHj308kgArD51Q/JG1uERe/t6tHDISI93ex8dz2xUARfSxfNG2o44XsX4W3sSAYRAD2msfqpt8iqLCDkDfLGH54k7I2n4f1ICOZdfVoyiADoms6Kh17nhO9fiCN9YHeXI+OTZR6seW9jMogAdDe00/jRTtwnDh5IhBBYPOkYqx1IXcNgMh+RQQRUIFEU5RMI9wQGlAU6vIR9YULdA8dKwj0BLP17gbQINo8DXyi+W2+wy4+3qZOQNzjgfF9LN9FQhNZt9ckgApBekoM728XxX/8MsZhO7cod1HywmUCnl4jXP2gggfhAeCwUz75otNv3OrMsebym0bqtfkB5+86mfZ4HfCoWMapAoijKfnPlpvfv/idnbDGOLDeewix6GvqszRDgyEmDYOoMpljMgL+tJ6XMYDLGr91PweRybB4HUX/vILw93cnM8+ehdzVgBIxA9fwKtJhGyBtERH3xtLv9WgExv4+enVuSU3sNFhvuiup9DqIbjUZKZ42lo1/gKJhSsddzPk1GbNaWEKJECPFfIcRGIcR6IcQ3EuWZQoglQoitiZ8Zfc65SQixTQixWQhxSp/yWUKIjxKv3SES+yQIIaxCiMcT5R8IIcpH6n4U5dNMSknfbKppRdnMu/I0LA4rCKg6bhrTPns0BqORuZctxpkTH88w2SwcdfkpuPMzMbnT4ycLgdGTha8rjOyzTiN3XDGegkzSirKZe8XJmB3xVkJ2VSHTzj8WISQls6rJn1rO9POPZv5VJ2OIdKdWNOKjauEEpnxmFjI6cOaX1HUCLY0p60P0SIjoIFvS91c0o5rSueNBxLutqo+bRt64ko8979NgxFLtCiEKgAIp5YdCCDewEjgHuALokFLeIoS4EciQUn5fCDEReBSYCxQCrwFjpZSaEGIZ8A3gfeBF4A4p5UtCiOuAqVLKrwghLgbOlVJetK96qVS7ijJ0oVCYVcvW8ugD/8ZoNHLRpWcxrrgAq92CwWoiHIwSDWqsf+EDmjfswpmTxpQz59NZ24rRYiKtKJvcscVYXXb0mEbE50fXNGIxHT0cJtDpo72mBVd2OlmV+WhalO3rd1OzpZ75J8/B6bTjyHSieTsJtjQBEmtmNlLTMFithJobB9TZlldEqLl+0MV/eixGz7aN8cWGfc/JycdRUPyxv49YOIq/vRshBM6cNIxH6JjHYPaVaveg5WwXQjwL3Jn4d5yUsjERbN6QUo4TQtwEIKX8deL4V4CfATXAf6WU4xPln0uc/+U9x0gp3xNCmIAmIEfu46ZUIFGUoXvvfyv48qXfTj4XQvDks3eRYwc9FEDY3Kx6dhVt23u7fAwmIxNOncP6598HYN7Vp1M6a2zKdUMdbchohFgwgNFixWB3EKirASkxmC00dsLffvIA37jjqxQWevDv3pFyvi0nHz0aiW/DEuozpiIEjsJSDBYLJocTg3HgB32wuYFgc0NKmatiDBZ3Gj3NnTSu3UHn7mYKplSSO64Ee9rA7V0+jUY9Z3uiy2kG8AGQJ6VsBEgEk9zEYUXEWxx71CXKoonH/cv3nFObuFZMCNENZAFtI3MnivLp8viDz6Q8l1JiEBI98eEdjYmUIAJQNL0KR6abiacfhdR1Gj/amQwksWCIaDCEjEQItcQ/zKOAMJmwZecRam1Cj0bIzbAz6ajx7N5US46zcEC9Yn4fCIElI4todxexgA+D2YKzuAyTy7PPbeAtGVlo0SiRjjaEwYC9oAiTw0Wgw8vbdz2Hrzme/2T38i2MP3kWk89egKHfppFKqhEPJEIIF/AU8E0pZc8+/sCDvSD3Ub6vc/rX4RrgGoDS0tKPq7KiKAkm08APUJPJCImZvEajAbPDSjQQ7yqqWDgJX0sXyx9YAoDZZmHWpSfibe7EiEb9mx+QVlmM2dZvD6tYLGUzQxELUTWlnGg4itHmgD7JrQAMFguxoJ9gYx2OkgocJeXJNLofx2ix4iwswZ6TFx+vSczY6m5oTwaRPba8voqKhZNw5x15+2MdSCO6RYoQwkw8iDwspXw6Udyc6NLaM46yZypHHdB35KoYaEiUFw9SnnJOomsrDejoXw8p5d1SytlSytk5OTkH4tYU5VPhoi+ck/Lt3mAwYLM7klubGDQ/086dn3zdmemhdWvvNNloKMK2N9fStr2BhrdXEOnyIgwG5CAbY/XtkZZmGzWbaqmeXoU5LR1h6g0QwmjEaHOgh8MIkxmz3YHJahtSEElew2CIr2bvM+1X9tugMV4mkQOLlX5GrEWSmFl1L7BRSvn7Pi89B1wO3JL4+Wyf8keEEL8nPtg+BliWGGz3CiHmEe8auwz4U79rvQecDyzd1/iIoij7Z/qsydz7+O08/+8lmIwGTj75GHxrt5A7YxxasBs9Eia7LIuF155J5+6WQfsIeurbCPuClMyfRsvydXRurqHw6ClEOnt7oIWht+UjTGbCJhfHX3g8ZeNLEULgrhiDFgygazEMFht6JIqjqByTy4XUdcJdHQijEZPN/om3IEkrzMKW7iTU1bsOpuLoSThzDs/8I00NLWzZtJ1IJEr12ArKK0duhtlIdm0tBL4AfCSEWJ0o+wHxAPKEEOIqYDdwAYCUcr0Q4glgA/GG8/VSyj3LY68F/gnYgZcS/yAeqB4UQmwj3hK5eATvR1GOSFLT0MIh9FgUg9mC0WZDCAPe5g56mjopzczmph9/Fasznpo24vWDlJgK8pFSx2AyE/TXsfnVlUw646gB188dX4rNYyPc0Uj29LE0LVuPwWLDlltAzOfFYDZjcrowOlyYXW4MFhsZ/RbxRf1egg21yefCZMZdMQYZjeDduTW5U7DJ5cFVUv6JgokzO41jv3YuNe+up31HE6Vzx1E4rfKwnJm1u6aeb17zQ7Zt3gmAy+3knkd+z6Sp40fk/Q7arK1DhZq1pSi9pKYRam8h2NTbHeUsraSnLcj/7nyWWGLVefHMMcy46Li9zmCSUuJt7iTY5aV9RxMbX1qGFtXIriqk8pjJuNONiIgXg9WGMLvRAvEFiyaHExmNooVDOIorMDrdmK2pQUCLROjZsn7Arrn2/CKEwUigYXdKuausGkta+rB+L5qmYTyMB9ifevR5fn7jbSllJ3/meH59+w8xW4beBdjXqM/aUhTl0KSFwylBBCBQt4uAz5wMIgB1H26ldO44ihO75fYnhMCTn4ndY8Eiu8n7+hlouhGjCQxRLzKyZ8GfxJaZht/fhtmdhtFmR2ox9FiUnqYONr72JtPOO4b04r5jmamLIZOluk7M78PocKZsYa9rsZTHWjCI1OKD+Ua7A4NpCAPyh3EQAajZUTugbMvGbYRC4U8cSPZF5SNRlE+ZUCjMsnc/5Nc//SP3/O0x6vyk5ESXuoYYZDA80Ce74N4YLTYMRhMi2I47w4wItCIjves8bDkFWNLScJZUoEejhFoaiXR3YsvJx5bhoWVjLe/e/Tyhnt7AYDBbsOXkpbzPnjGVWMCHyeZIrUMiJa+UkmhPD1FfD+GuDqI+L5HubnTtyMsH0t+cedMGlJ1x3im4PXvf9n44VItEUQ5jUtfjWfv2Mq1ej0bRIiGEwYjRYkUYjXzw9kq+dtVNyWPud9q5+95fUuyMBxRrdh7mGCy4ajE73t9M0/p415Ez003Lljq0SAx3fgau7LQB72cwmXCWVtBe38DW9TsIa5KSgiyybAasmdmYXB5i4RChtma0YDxYyFiMYFM99oISyuaNp+a9jfhau7F54t1oQghsWTkIo5FIV2e8VWFzEmlvwuhwIRPThoXRiKOwBJM9Hli0UIhIdwfRni4gvl7F5HBitFoxuD7ZDsCHi+mzp/DtH17HXX/4B5FwhLMvPI3PnLt4xN5PBRJFOQzpsShRbzfh9lYMZgvW7DxMDmdKQImFgvh2bU+mv7Vk5YAni7v/9EDKtQL+IKtWb6bk2InY84oINtUjdQ2HFSafMgmry44rN4OWLXVsfX0Vrtx0qhdNJdDpxWQxUzClkszyvOR7t3f5+OWv/s6br70LQFZOJg8/fScOmz2+Ej3gHzSbotRi5I0tIBaK4Mx0EguHkdEwuqZhtFixpGUQCmjsWrad5k115E8oofSo8TjzMrFlZse7rvpO59WiySCS/J0E/OiRMFEfmPcSTLRoJLnCfl8LGw9lnjQ3l119ISeediyxaIyi4vwR6dLaQwUSRTkMRbo7CdTvGWT2E+npwlM1AZMj/m1c6jqhlqaUHOqR9laMZgcB/8Bt2qOajrtiLL7anamD2iEvk0+fRVeLj3f+/BwIqF40lTVP/i85brHp1ZUc/+0LyKrIB2Dtqg3JIGIwGPjFr76FPdBBz9ZGMBhwFpUhTKYBqWiFEGRV5pOebSZYu5WI3YE1I4tAUz1Iia2wkpWP/o+OmvhK+s7dLTRvrufor56NzWVPuVYsFCQWGrhpI8S7vPz1u/BUjU/ZGViPxYj0dBJsrEfqOrbsXKzZuRgP04yGQgiKSwo+/sADQI2RKMphJj620C8PhpTEAr1jGFLTiPr67YwLWITGlddeklJmNBqZu2AmGAwpgScpFsUYCjD9vAVkVxbRtH5XyuC3HtOoXbmZQFMdwfYW6mrqyczO4IYbr+beh25lUmkWcs8mibpOoGE3tryilLcwp2VgsDmIdjQlu7y0YIBgcyO2rDwieGjeXJ8MInt01DQNWI2ux2L4a3cS8/VgcqSOCRgsVrRQED0cSmZrTN5m0E+gble8XOqEWpuIdA1Y36wMQrVIFOUQpMfiU2KlpmO0WTFa+uTKECK5sjxFn7SxwmjE7HQT6be1iNFiZdFJC7j1zp/y8H1PkpGVwWVfuoBx48rQQkHsBSWEO1pTAkosGKJ91TrMLgeVR09g57sbyRlbRPXREzCYDAS6AgS6AgR9UYJdXo6bO5OTjpuDS/dhzcol1JK6Q6/UNIL+EI7SqvjGjwYDuqYR6enCaLUSi0b6HBvD2xXlf395iYmnzx30d9V3a5VgIESwuxuCAbRgAFtOPkabPT4o73TF17w0N2ByulNWywPEfD39L02kow1rZvagmz8qvdRvR1EOMXo0gr9+d7J/XxhNuCvGJHKHxwe07fmF+HfvTJ4jDMaUb9/CYIgv+Av40RMfzJaMLEwOJx6zhVPPPIHjTz4ag8GA5u3Cv31T8lxbfhGRznb0SBhzWjZta7YB8TV/aXnpTDprHmZCyGC8xePINWKdOpHXbv13crZV+bzxVM8rQ49GMFisA7Ztj3QHCXcFSc9zo0fCxEJBTHYnpowcYr7e3CBGm52t72xC6jqdtS3kjiuhZXPv1NbCaZW48+Ipjfy+AA/c8ziZGW4Wz6pMtiriiyztGCxWgo11GKw2HIUlAzZiNJgHZkk0WK0IoTpuPo4KJIpykHXXt1G3ahvdDW0UzxpL3tgSrO7ePv5YwJ8ySCy1GIHmBtxllclpr2Z3Gq6KMUS6OzGYLVg86ZhsqeMEJrsDT/V4tHB81pbBasNgNBJLbL0uDAYwmQnU70o5L9TcgHTnsau5iabNG6gKRbCXFBIIG3jzzv8w74oTkfR+e5e6Rri1gZKZVWx9Yy0ANe9vonByCcQ6ceQVEWiqS64+x+qi5u1ttO9sZsEXj0X64/cQCbejRUKYXR6iidaB2ZNONBgPZA1rdlC9aCqZ5fn4WjvJn1RO3vjSeHItYNuWnfzl9n9SVJLPUbN+jId4q0qPRjA5XJjdaZidbgwWy6BrSUwuNwazGT0ajRcIA7acgpQWjzI4FUgU5SDytnTx5h+fJpTIeV734Tamnns0406elZwhpIXDA87TAn6kpiUDicFowuJOw+IeOAW3L4PZkrJdSCzgp2fH5t40s1Y7tuxcQq3NvSdJSbCtm661tbzy4TKuvvgzCKxsePkdAMx2E/Qbr5fRCJ789JSysC9MRkEWuq5hzCgk2NGNFpPsem8Ldavi+UVCEcmO5gDvvvsuOTmZzJ0zkaox5YSNFlzp6ZisViqPmULD2njra9ubazFZzRz79XPJrkrdXr61Ob53V31tE/938z1cfc0FZGW4ySsqwJGZ8bELEU02O+7KcWjBAFJKjDZ7ciqxsm8qkCjKQdRd15oMIntsePEDSmaPxZkV3xzQ2K9lAWD2pCE+pp9e6pJAhxeJxJnpQRhEv9d1gv3TzIaDINLjYy57WgwGA6GeIG3rd3HCovnkjq8g0uolb3wJ+ZPKkdIwYG9GYbHRvit1hbwzy4MWDBILtBLBzVt3vZzyemZlAas37eD737y5tywrnXse+A05udk0t3VjMZvIKMlm4bVnsnnJSoQQjDt5dr+V73FFJQUIIZBSsvy91Xy0aiPf/tF1zHF6wGLFk77voAvEdwTeR+52ZXAqkCjKQTTYznZSTy01ORzYcgsSM7MkRrsTe07+PrtYQj1+tr+9jk0vLQck406eTdWiafH1EEYDVpcdqeup2QST76/HxzHCIYTRhGbysP6l10DC3LlTMHtbMJk1Jn9mFv/768t4CjKZfvYsCHUl11vYC4rp3L2ajNJcSmZV4SnIxFOYQag+3pKwmKPMv/pUAu09RCMxbE4bzrJcvnTF91Lq0tHeRVNLJ/fd/S9e+s9S0tLdfPvGq1kwvZqjr/0MRosVo3nwj62qseX88vc38csf/gG7w8ZPfnUDv//V37j5R39gxqxJ3PizrzF+8jjVVTUCVCBRlIMovSgbi9NGxN87K2r8KbNxZPQujjOYzNhzC7CkZ0LiQ97wMTvQNm+qZf1z7yWfe5s62fn2R2x7Yw1Gi5kp5yygcEoFlowsQv3SzJpdHoyONNp31NNT383m194n4g9ROL0SuyGEHo2vK/G19RDxh2jb1sAHDwcZd8JUTBYTmWU5xIJBjvv6mUS62on2dGGwhDEaBQazBT0WxZ6djcnbjdNixGR3Y0nPpKOjm2AwNbCNGVfJ6y//jxeefQ2Azo5ufvS933LPP3/FFI8Lc/7e86pbLBbOOPdkps2cTE9XD1dd/E2CwfjvedXK9fzghl/z94d+S1Z+7l6voXwyKjQrykHkzstg0TfPY8zx08keU8icyxZTecyUAd1QwmDAZLPH844PEkR0LUbU7yXS00UsFKTxo5rka2a7FVdOGuuee49QTwB/Wzfv//0l2nY0Yk3PwpKRFT/QYMBeUILJ6cTsdGByOAl2B3HnZzDhjKOoOG4qUo8mr2sw9n5ceJs6WfHImyx76A1C3V5kNES0u51odwdIHT0cwr97J9asXCzpWYTbW+OzsaQkFvATbG4k3ePksi9+NuW+jjp6Fq+++MaA+92xs56oz8vHZZkSQlBaXkR7W0cyiOyxfesuGhta9nKmMhyqRaIoB1lGSS4ZF+UidTkggAyFFo0SbKrvTQxlMDDp1Ok0bayhYv4k7OlOkAyYKtu4rob8CWU4i8qw5cZXPOvRCOH2VoTBQFq2jeD0Et6p3c7Pf/RrwqEw1379C5xyzBSsMoozzYqnKIue+vbkNcefPAMjIYyOAoL1Nf1qKtE1icFqR++TxApILgacv2Aav/zdTXR39dDW0s6xJ85n+Xur2LxhW8rxmRkeLJ6MlARY+5KWPjAZld1uw+lSg+cjQQUSRRklHxdEouEIsWAEq9uR0hrQQoGU7ILoOrqvjVkXn8DKR5cmu81KZo2laHoVDWt3kjWxGFtJJtFoFDRJNBjFZNTx7dqWHGQXRhPBiIl77nwweenf/+Yeqqp+waQCJ0R6mHDuPAJNPQRbu8iuKsBss9DR7CXboyNMZmSstwUDENF1Yt4Ig338hzTBNV/8IZ0d8fUon734dISmcfb5p/KHW/5GNBK/1tTpExg3tgxLesaQf7fV4yq58NKzeOKh55Jl3/nBVygtL9rHWconpQKJohyC2nY0su7Zd+mqa6V45hjGnTQzufCu/4c1gC5MbPnv6pSxl9qVW5hyzkJC2Xb+/s9/seOuu1l8yjFceOk5BL1+xhZ7emdqEW8lOEwm3B4X3p7e7VbWrd9OQcFRREOSLRs24Mj0MGlWNZueX0bblvhMrYzyXKZcMA9LrHdLEc1opqGhjfKCdEyOHMIdrcnXzGkZ3PfAc8kgAvDUYy8ydeZk7r/7ca752hcwm80UFeczecoYCkoKBqwul7pONOAj0tWJwWjEnJaBObFo0+V28tXvXM1Jpx5LW0s7xSUFjJtYlbKpo3LgqECiKIeYnuZO3rrj38nEUjv+9xHBTi/zvnQ6Zptl0BXYwuKkY2fTwHKzkZt+eCuhUHxtSmZOFj/5/q2Mm1DJTV87f8DxTrsFp8uREkhy83Jo2tBIy3ubiYWjOMpysU4aS1ZpTjKQGB02fv+HBzjnnBPJz0kjEIqwc1ctU6aMwQQYbTYcxeXo0QhGixVfIMKD/3hqwPvX7W6guamVP//uPgB+8YsbkBHJzu11eNLc5ORlJY+N+rz4arYmn4famvFUjU/uAJCe4WHeMXOA+EaNsYA/Pv1ZCMwuj1ojcgCN2GC7EOI+IUSLEGJdn7JMIcQSIcTWxM+MPq/dJITYJoTYLIQ4pU/5LCHER4nX7hCJVVtCCKsQ4vFE+QdCiPKRuhdFOZi8TR0p2QkhPr4R6IhvHWKyO3AWV4DRhLSmEYw5iUQElcdMHngxmykZROwOO2aLmcUnHc1x8+egWQcmOdItdlzu3nS602dNZmxJMQ1vrCMWjreEOne1sOHF5ZTOKGLaeQsAiHmDFBfk8ZWrfsS5Z3+dr1z9MyaMK8MT9RLuaCXQUBufLabraJpGT3c38xbMHPD+uXnZ8Xs0m7jq6ovJK8zjW9/4OecuvpzPnXkNb7/xAbquI3WNUGvqHl5ISdQ7cL8sgJjfhxYKYjBb0EJBerZvIhYMDHqssv9GskXyT+BOoG/ygxuB16WUtwghbkw8/74QYiJwMTAJKAReE0KMlVJqwF+Aa4D3gReBU4GXgKuATilltRDiYuA3wEUjeD/Kp5gei4IEg3nkcjrsYbIOfA+jxYTBZCDq9xHt6ULXNHRbDu/89XnC3vgU2urjpjL3ipNZ8dDrSF1SdewUTC4r13/rcpYueZfuLi/zZk6l4ZXV9NRsYYdmovqYsfE9swxGbJnZBH1+/vnQraxZvRFhMFJemke4eeDak8b1NUw8eTK5Vdks+tpnMJvhKLuNGXMn8c3rfsFFnz+DLLOO7LPBrh6NIAwGtu9s4JLzv8FPfv0ddu+qp2ZHLUajkWu+9gWKSgr46revIhqNUj22gl//+k5qtscnDLQ0t/GNq3/IEy/8ncqqknhSr37653XXYzG0UBB/wy70xLbylswcrJk5RL3dqlVygIxYIJFSvjVIK+Fs4LjE4/uBN4DvJ8ofk1KGgZ1CiG3AXCFEDeCRUr4HIIR4ADiHeCA5G/hZ4lpPAncKIYQcLLmzonxCuhYj0t0V338KGV/fkfbx220MR1phNrnjS2nZtDtZNuXshVhdZrzbN4OUCJuLNc+sTgYRgG1vrGXhNYUs/v751H+0m9wx+ZgJcOFJMzhr8Rx2NPbg/Wg3oe74xoo73tlAw0c1zP/y6dhtkmCixRDzdjJ7xjgApMFMe3cz/aUVZGJAw2w2IqIh9FAYLdTN5CIPz716LyajAdnTOuA8iUD4ND73+bP576tv8/krP0tFdRmZmRl0dHTxpYu/mTz26q99gfbWThxOezKHSjQSpXZ3PVVjy7Hl5OPfvSPl+mZPevx9dJ2It5tgYx1S07CkZyLtTiKd7UQ6WnGWlKMFBwZI5ZM52GMkeVLKRgApZaMQYs/KoCLiLY496hJl0cTj/uV7zqlNXCsmhOgGsoDUeYaAEOIa4q0aSktLD9jNKEe+mM9LoK4m+TxQvxthNGFNzzyg7+Nt7qSrrhWpS1xZbiafMh3fUeMI+YLx6cJl+cS6W5OD4xIzHTsHfsAHu/043ZKMylwM4Xa0xLd2KxoTKot584W1KceHegI0rN5JZnk2LmtvpnYtEkE3WjFoMZxuAyWzqqldGZ+SazSbmHrOPGTYizG9kEh37wC7jMXIcFgIdHXSEDLS3NhObk46BW4LBj1G0Bth52urOWrBLDbc9zgP3/cU519yJp85dzFPPto7w6qwOJ+qMeWcff6pGE1GPGlu/vm3x/D2+MjMTAfiG1c6y6oItzYjTCZsiSyREN9TzL9re/J64fYWbNl5yYRaeiyG2fPxW6YoQ3OoDLYPNg9S7qN8X+cMLJTybuBugNmzZ6sWizJk4UESG4XbW7GkZQw5Dau/rRt/ew9mhxV3XiYmS+r/dl31rbx5+9PJ1oXFYWXW+Qvxr9uAJcND+lHjsdgtRDt6u20EUXLGFtGyuS7lWo40B3owQMBswiYMSHq7f2xOG7njS6hflbpGw+ywsvpf77DwykUQis+i0nUNPRoEkwWjQWPKGbOoXDiZsC+Aw23GKP2YXZlo4VDKzC8AXeq8/t4GfvWzO5FSYjAY+PEvv8Exs6fz/j2v4pxZxre//nM0LX4/v/3lXRiNRsaMr4zfmxB8/ouf5Uc3/IpYLH6M0+XgS9dfSmdHF1VjKwAwGI1Y0zLiG1f2y1vfN8nXHpGeLswuD5GuDowW64CkV8ond7BXtjcLIQoAEj/3LDOtA0r6HFcMNCTKiwcpTzlHCGEC0gCVzkw5oIyWgWlW4zkqhhZE2rY3sOTXj/LGH55iya8eYdMry4kEw8QiUYJdPrSYRt2H21K6qCKBMM3bm7B4XES6vGihEBFvNwa7E2tmfDBahnxMOnUGzuz4wjthEEw4dRY2u0SaLTz8wLP49N7VG5b0TKI97YxdNAF3fnyOixCCigUT6djZFK+LBsJixeTOxGBzI4PdmKwWTC4PkdZ6zLE20nPMeApzcBSV463rQI/1+14mBPWtXn7zy78ksyjqus6vfnYnWzfUMOHkGdS2tSaDyB4P/P0Jps+aQn5hLlNnTuSdN5clgwjEc40EAyG+8o0rBiwqFAbDgL/HYBtcGkwmpBbDlluAweFQe24dQAe7RfIccDlwS+Lns33KHxFC/J74YPsYYJmUUhNCeIUQ84APgMuAP/W71nvA+cBSNT6iHGiWtEzC7W29g7jCkPww/zhhf5AVD7/eu7ZDwpbXPiRnTBGbl3xI2Bdg2jnzKZ1Rjt1jY8NLKwl2xb9JB71BMktcFEwZQ6SjkVAiMZTRasNRUEKkpxOr08kx130m3tqxmLDajchYmC11Xl54Zglf+PxnQMbPM1is8W/iIsiczx9P08Z6ENC0voaOmmayqguxup34dnXTs30bZreLrBkT6PT6sPt6e4tj3m4CoSDmtHTSxxQT9YexZOYS83VjMJmxpGfQuWEXsWhqGttoJIq0GYjtqsFuGfix4/a4CIXC3PfYH2mob+KOW+8ecIzX60uZUbYvJqdrwAJJW04+wmjC6HBgGOIKeWVoRiyQCCEeJT6wni2EqAN+SjyAPCGEuArYDVwAIKVcL4R4AtgAxIDrEzO2AK4lPgPMTnyQ/aVE+b3Ag4mB+Q7is74U5YAyOZy4q8YRC/pBxp+b7A70aCTerQMYrfYBs7m0aIyexg56GtpTyquPn86WNVsI5tmZc9YM6Gkj1iHJyDSw4MoT2PHBNkpnlOPwWEAYEWhEOnszBmrhEFosgsFqY/3Lq4iFY4w/dSadqzcQaunAlpNJxGrlgovOxBwzYisux2gy9qbmlRJjtAtXjos1T72LFo1x1BUnkV6aQ/em7fRsiw/wa6EwDa+9S8mpx7Dno1gzW+kMaliAHLOVhpZObGYjma5MQEePRAg01JLltuJ0OfD7eqfXuj0uPCI+i2pcWRGZWel0tHclXz/j3MVcecHX+fM/f8OUsRVcdMlZrF21MeV3d8Ipxwz972az464aF8/jomuY7E6MdseQW5LK/hGfti/xs2fPlitWrBjtaihDJHWNWDCAFgphMJkw2p2Ddjd9nEgghLe5E6lL3LkZKRkJ91csFMS3a3syr7nRZsdVVkUsBr7mTiTxvOS1K7eRVZ6N1DQaN9RS++E2qi8+hhtu+D++94NrmDcmj5RhPYMBW24Roab4dFeT053Y5DC1v9/s9qDHNNrqgwQ7/Zh97cT6bFBocjooOGE+BpPEZIjnGYn6vaBpycyDwmhCWtOxuJ1E2+oxOdPYvWTZgPGOwmPnICOdtGtm7vrrEyx95R08aW6uu+GLPPfkK7S1tvOTm29gUr4DEvtnCZOJdXU9/PjG39HR3kVmdga//M13yW5oQQuFEUYjoaI81m/fTXuPD0+6hxeeWcLWTTs46bRjuf60RYR1nfWd3Tz08H+w2ax85ZtXMO/oWdjtKlfIaBFCrJRSzh7stUNlsF1RBhXp6UrJTW50uHCXVaZk/fs4/vYePnx0KY3ragDILM/jqC+emtxyZCi0cAgtFEz0+8tkHnQALRQk3NnBqmdXUr8qPlMosyKf6ectwBBqA6mTdkwFxTOq+Pfr/6OjrZOMNBcD5oboOuixPtcNYM3IHhBIhN1FT3sHnpIMbE4bXatSE0oZjAYMRIk0NRKREoQBe34hMhrFaHegRcIYrTak0UqksxWpxeIZAa0WtFBqdkZdQMDi4eF7n+b1l98GoLurh1//5I98/XtXc8et93Df3x7jezddQ67NiIiGkbEYk4vc/OP+39C8sx6XxURhYR6NO+IBUmoa1t0NzCvI4dnWDm6/5W/J9/P1+AGJbO1gstnMrd/6Is68LIrnTB3y30o5+NRok3LI0iIRAvW1qWUB336vSG7euCsZRAA6aprZtWzTXo8PdvsJdHqRUsbXkXi76dm+Gd+u7fh37yBQvxt7bmqa11jAR6C9twuqY2cTzZvqEYnNFmUkSEa+i+1barDbbXR2+3q7mxKEwQhSR5hMCLsbYbIgpcTcJ51uh3Dyhzse5QuX/Yif/uIvtMQiGPolesqaOoZoe3Nv60LqhJobQUCorQWTw0movQUiAYjGA4cW6CFn5oSU61gz02kLhHhpyfu89PwbA39PgRDf+fH12GxWrv3Sj/jdX5+hORqvi9HhQd+2G3dTK2J3I0arhayp45LnGixmXOOrePTh51KuecGFpxNqic+Z0aNRYg3NRJvb+bT1nBxuVItEOXRJPbndeGrxvnNS9Nd/iizEtxwZd/JsehraaN/RhNluIaMsl+66NtY8/TZaJMakM46ieFoxMhxMGbSVmoYWCmCwWtET+dV1LHibO3GXZmMsz6K9p4fGsI8scxaWWLw7Keb3ct3Vl/C5UxbjSfcgXfkIfwvoGhgMkJlHMBiheWeA3SvW4inIpOqYiWhmG57CDAxSx9HRySknz2fbph28/cYHrF21gbvv/iWsjQdGT2UJBrOFcFcQizsNg0miBXrikwWEIZ7PQ9dB04gFfJicLqI9XUgthtGqUXzCXCL+MEarGZ+E//vFn7n0yvMpLS9k84btKb/D3Pxs7vnTg7QkcqU//8xrbN2ykz/c9VNioQixRKBMqy7DnpeFq7QQoycNX3MHIX+Ej55fwf/9/AaefOZlYrEYl3/5c0wbW07zkndS3idrYrUa2zjEqUCiHLIMZjOWtAwi3Z29hULsd07t3HHF7F6+OaWscGolrVvqeOeu55Lfdm0eB1XHTsXqsmNxWMmuzEEQz//Rnx6JYDBZ0MNhzJ4MfF4Na5qTenuMO266JXncF6+5iEvOXohZxvD5jay5/9Vkj9a2NCdHffl0CAbRhYFd2+oQNV3sencDAD2NHTRv2M20y07EGu5EaBFsQHWmhd/+7ru88Mp7dHX1sHbzdsqL86muKiPU2Ez9fz9Ivn/amDLcRWnokTBIHaPdEd/uBdCCASzZBWjRCHowEE9GZZD889EXeek/b/Db23/ATVddwPs76zjngtP5/a//mtzaffK08ThdjmQQ2WPzhu08+/Tr/O2O+zntrBP56jcup6CsKJkeN6oLlj/+du+fs6aFb1x6EWNPnIHd6UCLRDGfuIDWD9chdUnOjIk4i/L26++tHHwqkCiHLGEwYs8vAqORSGcHRosFR2EpRlt8oFxKSWdtKx07GhFGA1mVBaQXDZyamzehjMJplTSsiW+nkVVZQOHUClY+vDSlyyTUE8BstzDv8qMxmU2EW5sI+gT23AKiPV0p1zS7PUghiFpdbNndRJbZSeacKn5yw89TjvvH3Y9z/HGzKMvPZv0j7yaDiDs/g8qFk9n51joMRkH22GJkOEbt+6ldbtFQhIwsJ7Lbm1JuCvWQX5BFfUMTY8ZWsnvzLorLiujeUpNyXPfWXXjKjsKSkY1EYrI7CLfHty4JGqw8ft/TnHXeSWysqScYDPHg/c+waX18wWJ7WxemrDQamtuYMWcKv73rZ7Qlup3yCnIIBlIzEAIYDIZkj91Lz73O7HnTuaC6LPl6Vlk+Y0+cwZalq0CCKzeN8tnjsDvja0OMFjNpVaW4ivORgMm6/xMrlINPBRLlkGa02nAWlWLPLUAYjClpZ9t3NvHG759ETyxcM9ksHH/D+WSU9ubkllJiT3cy9/KT8TZ3EQ2FQQi8TZ1E/AP3WooGQlhsVoJN9XsuQCwYwJiZx67aZpqb28ktzKMkFGHN+h3c8NVfomka9/zzN1gybMlv7H11+cLkx8yEfYkPXgGVR09hzVNvJQPLrvc2ccz1Z9JoNhILp3bdCSFThuV1SxpdDd1kB4wsmj6dXdtrqa4uQ+v0D/z9Oe00BSNsWbUFd5qL8tI8orqFYDjGf994l3v/8ijpGW6am9q572+PJc9zOO1k5mXz7W/dzE2/+Aa//MHv+dwV53Lnb+9NHnPSacdy0mmLeO2lN5NlZ5x3Mm+/0dsi+u+St7ng82cln1vddiafs5CyeRPRIlFcuenY3AM3TjSqAHJYUYFEOeQJYRiQkEhKyfY314CUZFUWEA2G6WnsoO7DrWSU5lK7q541K9fT2d7J+HFljKsqxu5x8vZdzyIMBkpmj6FoehWbl3zY540gszw3ZQxGWB2EIgbefPtD/u9Hf0i2YG646SuUFOZy+23fIxiNkZefiUEKvnPTdTz79Mts3Rxv/bjcTto7utm8ZSUVCyex8cVlZJbl07xpd8qkLanr1K/eztTzFvLho28kyx3ZHjRhio8RSIm0eljx+PvJ9Snp5XmUzqzknQ9WsWjKZMxuJ1FvPKBYMtKo87h45Oa/0dPdwzEnzKexoZWJ48vIcJi58MyFHL9oNm/9bxUXfvZE0tNdPPv0a5x+zkmUlBWx7qPNfOfH19HS1Mac+dN5/t9LUv4Gr730Frf9+WeccMrRbN20g6LSQt59cxnr1vS2qubMmzHg72kym8goydmP/wKUQ50KJMphSeoS3WzEMKuEJ//7LvMXzmLaScdj08Db3kHDjho6Wlr5258fwdvj43d/+hFzxhcz/pRZ6FGdjNJcepo6mXjGUdS8swGzw8q4k2fhcEqEMf5tWFo8bH1nO0GbgVt+cWdKN9jtv7mbv//l59ibWjHnZlGzrp4X73+VaDjK2SeeRONR7bz77nKu+9YXsQoj7sSeV2NOmYW/sRMtOnASgR7TyC5xsfDLp2K2WzFZTQibldtuuZtLPv8ZCtwmAj1RehraMVpM5Bw3kaeeX8KGZ55i4bFz8c2EnKISzL5uwu0ddOZl8+0vfj+51cjGdVt5+oW/kUkA9DDEoMgBF110MmYtxDknzuTU0xbxj388zZ9u+3uyXqefcxKV1WWsX7t5QJ03rtvCY/f/m0WLFzD/mDk8trN3YsOEyWM54ZSjD8wfXDmkqUCiHBD+bj9mqxmLbehdEhF/CGEyYB5iN0Y4EEbTNGwOK3okTIslyh9uu4/vfv86Nr6xgTXPrmLKgkmcmGFlTJaVscdMYvqMX3D1FT/kj7/7J/fe/X90B9rYWLOLdc8+z4yZk5k2cxKlp84AXwSzw4oWhab315A9tZqm7W3sWrYZ17wqIuHURFO6ruOLRMmrKqVDN/HUzY8mX1v+8grOuOo0rrjyLG7+5V85etE8CkrKWfP4G2RWFZI/fyx2k4Xmjb3bxCOgeHo5RIJkFmbHM/lFdPAb+cJlZ3D9tb9g3vwZXPbZMzGYjBSfMoPv//jW5Orwpx9/gd01dXz+mOMgGGH8idN59/0VKftV2R12LGjxWVt9mEJeesxunn/+LRxuF4898EzK6y8+8xrf+sFXOO3sE7n7jt70QharBZfbSSAQ5KVnXycYCHHa2ScSi8YYN7GaqTMnkZ1zYHdJ7isaibJ29QZefeENLBYzJ522iCnTJ2BQe2gddCqQKMPS2dLF8iUrePc/75GZn8npXzyVqqmV+5yuGfIGqPtwK1teX4XFZWfGZ4/Gke7EaDZh8QzckTXY46enqRME6Aii5gj+gJ+/3/UwV1x5EW89+CYGo+C8q04lM91BpCdEWnEese5mSj0WPn/5Obzy4pt0tHj5+yNP8/578e6sV156k+NOXMD0WZOpKCwgXUo6N+4g1NJOl9NB08b4oLRTmAZs6WF32Ml2uwi1tJFVXsLck2aw7LVVyddXvPYh0xdN4fQzT+Lmn/6Ru/4YH4Tv2N6AI92JuaKA6RcuouGjHRhNJqqOnoDNEsKalRsfn9mzXbyukW8zcuWXLuDWm//KUXOm4zi6mg21u1LqA7DigzVcctZpeLc3ISMRrJbUbVuMRgMGg4D+s6el5OF/PM0j9/+bL3/98kHXbGRkpuPxuPnRzTfw8n9eJys7k6kzJvKPv/UG0Ldef4+Jk8dSVFrIgmPnYBvhVeirVq7j6s99K1nfh+97kn888SemzZo0ou+rDKQCifKJ6brO28+9w6sPvQZAe1MHf/7OX7jhrm9SMia+aXOoo5tga3xBmT07k/ZAkI9WrMdkNeE5bhyBYJjl6zZRUVTA7vW7aa5vp2JaJdJuoKg0H4/RyoePLKWztgWbx8GUc45Gd9kw2T0IIXCYbYSDYa750SWYanejdzQTApp2u8ieO5VIKMz0GeMpLMqnqaUtGUT2eOP1d7ngvNNIj4I5GsZalI+nvAhfXRPphRk0frSTjtU1/PgHX+PW399NY30z2bmZ/PiH12OqbSASChNZs4F5Cyew9r2NhBIbNGYXZhEORXC5HXz2c2fw0c6dVJ02k8a3NuDKTmPNk28hDIKsigJioShSGtDtGegYBmxTIjWN8vICALoCAX53811c+80rBvw9TCYj2aV5TJ09kUjQz7iJY3F7XMn86z6vH6PDBd5gynvEbG6yc7O45uuX0dnRTWl5EbtrelfLFxTnUb+7AYvVwmfOXcx5F5/BmpUf8cULv5Hy/oXFeRxz4nyqx1ZgHeHBcl3XeeQfT6UEvVhM4+X/vK4CyShQgUT5xDoaO3jjqbdSymJRjYbt9ZSMKSbY1knN80vREzOZhNFIoLyIhx94muMWL6RmRy3PPfkyV11zCe89+i4dTfGppR+8uoLjL1pEzdZd5LRG6a6LtwxCPQFWPLSE+decQfOmer71vS/TWtdK+fhS7CEf4T7rPaJeH776Vlb+exnjz5hL9ZwKuhvauf2WH1Df1cnKlR+xedM26mubKCzKQd9aQ8fKhuT5ubOnYA5FSSvMpLuhg/BH9fz059+iobUNl8NGjt2K1tK7hkK0tTFp7nhW/nc1FruFo89awPvvf8gvf3x78pjpsybzvR9cS/fq3ZSdNBNdSmIdXhpXb6N9VwudNRqz5o8lnmqn9wNSGIyMGVfNxZedQ2ti3cbO7buZNXcqK5f1Jqq6/IufpTDLQ6Ovh4aNjSx9dCnfvuErNLQ209Xdw9wFM/hg2TrGVZeQ6zZjFJLmngj33HIvr774JpnZGXzusnM5/5IzWf7+aj5atZGpMyZw3Q1XUlJWhLtPa7GkrJg586az/P3VABiNRi667FxWvLcav9fP3EHysR9IUspkLvq+wv26IJWDQwUS5RPZuaGGLR9uxeGyEwn2+583HCHU3kX39t1YMzy4SwvRYxoGk5FoJMr3fngt77+/mueefBmAgpwctjWlrp94+9/vcsMfruXdPz2bUi51ib+tG7vHSb7FiMfjxmWyYUvzYHSlocU07FlpNDe1EwrEmPT5EzBHNd698zl0TWPCqXPxSBN5FRP5wuKTyBlfRJrHQWu/bvX29VvIWTCTaZ8/gUCXn9r2Vr76lR8mxxwmTKzmR1/7Aoa6JgCExUzFrEpyqwsorSjAICPcfus9KddcvXId7e3d7KxvZeVD8RlQpeOKOW7xHDAKOms78XX58OTmE2ptircahAFbXiGhbQ1ce+nZPPPy/wB4+T9LOf+SM5m7YCY93V5mTp9AscFAGEG4J8xrj7xOJBjhv/cvxZnmxGq34F7kYPPu7dTsqMXb48PhsPHoA88kx3862jrx+fw8/M+nuOGmr3DOBacxfvIYSkqL6C83P5szzjuFOQtmEovFsFjMPPHgs2TlZKDFYiMeSIxGI5dccR7vvrkspfy0s04c0fdVBqcCyadYS20rO9fvxN/jp2xCGaXjSjAn+tXDoTCtdW3EojFyi3JweOJz/TVNo6Opk7u++zeMJiMnX3oS//5z74d9TmEmzsIsPly1gTKHHXtOFi3LP0q+nj19Ig6bJeWbo0z02QuDQOqS9Jw0jj5rIaFAGIvT1pvPI8HssLKltRF3ugchoGJqJdvf3pAcvDaYjFSeNoeHbv8XrnQ3X7zpYmafvxANAzve3UDn7ng+ta7aVtq21DF+fhWeihK6IlGivgCWzHRkZiaN7V7aWjoIe8P8/YFHUwauN27YRl0wTCmAEHQ77Xzzmh+TnZvJn3/5LYJWS8o26gBjxlXgsTnJLs7h9C+eSntjBx+8vIydY0uYOGccZquZXVubGDcuA1tOfvI8XdMxuxw0L1vDtInVye6qJx/5DxaLmd/c/mNKXDbag2Eat9aRnu5JCe7+bj/+bj8GDLz93w/YuG4Li09fxMpla9BiqQmmAB546k4yMtLxpLv3OdZVt7uee+58KKUsryAH0yfYnfmTmDNvBnf+4xYevPdfWMxmLv3SBUyfNfmgvLeSSgWSI0TE68df30SwrQOyc9m+qZbaLXWMnTmGMTPGkJblSTm+pa6VP3/3L3Q09W4/cs3NVzFl4WS623t44d4Xee/F+MKy6mlVLL5qMSFfAKlJzDYL886ai8Vl47W33+G8G87FYbZQkOeBWJSeWBiT3YrMSqfz7d4t+y2Z6Xj9IZxpaUyaNBYAs8XMxKnlzJpQBrqONxQjpAkev/1J7C47F1x5GrVvfYQz24O3uYu8iaU093Txva//H0ajkW/e9GXKPJm09JkBpcc0WlZsYcax01j++oes/2AjY90Ce2VFMojs0V3fjm6aSM/23WRNHU9HQxvLV+7kg9eWYDKbWHDGPPIq8mioG5gfvbO9i5kLZ1HX1MYtt92DpmkctWAmaYW57Ny8k4WL5iYX57k9Lr70xc/zj589kOzXr5hcwVGnzmHr2h1MXDiJoC/I28s3IwxzKSo1YDIJPDnZdNQ0EdiyA5GeRlZeHt/51ldoaG0hFA5TXlKMjOpc861f0dHexU9//R2Ky4oYN3ssm1ds6f3d2y0YjAYWHDuHo4+bS2V5GWedtpjmulaERfDykjdZ/v4qjjl+HuWVpUP6b+64xQv5592PpyzCPO6kBUydMWEfZx04doeNY0+Yz4Jj5wISk0l9nI0W9Zs/xEkpkbqOwWjE19GNv6Mbk9GIzWUjGIMN728kFgpR5jLgNZvY3NBC45srKcrPp2bzbt5/eRlHn7WA8647B2EQBLwBQpEIDTsbmTp/IiajAZPDjjAIWmpb6GppZ/fmenZtqeXEz51ARk46mfnppJtMBBqawSBwjq0gNq0cKQzk7t5FWm4abrOFDl8Ivx7hlp/dwa6ddUycMpbvfP/LuL1+hN3Be29vZOUbS0jPSeP0SxfzvZuuxWm3YNq+m3Ain4bVYCBtysT49NouH2EtxuwL5hNt78CePw2/wcgll8QHeTVN4/EHnuH/vns9Lf1+b77WbnKmVwFQu7OJSfMrkYN8+wawZXjQhUagpY2dTV7eeyUe/CJahDeefItzrz2LM889mUfufzrlvLKCbDp9AbasqeWCs8+g7cQu8kty8W/eSanDzryjZ5NfmMsrz/+XK6+5hHeffidlcHjnup1MnDseTdPx+wMIq5GKyeV0dQaIaPHum9d//W8mnTaFdas2smnTdsrKipkxcTJta5qwOa0YigUPPfBUcgZXzfZadry1lWPOOZq0TA8fvbuevNJcZp0wE6/Xz713Pcw555+GVh9i++odybqc/rnjuOLLFzF1xsQh/7c5edoE7nv8j7z07Ov09PiYf8xsKqvLmDB5zJCvcSCYTCrb4WhTia1GQDgY34ZD6joGg2G/1lZAPItcxOtHi8YINrXSs303rsnjqa9ro2l3K20NbVROKicUjPDMX57ji989H6NR4+Y//pMTT1qEw2ojLctDUVEeDVsaMVvMlE8sJeAN0l7fxswF4yAYpmPdFvRYDEdFGd0xQUyCJ8MNSDRd8tL9r7B1VXzfpVnHTWPBvGqiu+MLzkIVxSx550OOOXYuLrODR259nDO+chrf+97NKV06hcX5nHvRZxhbVc7zf3qBSCje5SIMgi9+72JyM+10rV6fcv/W3CyWvLuDzGwP0yvTiXV0J18z5WRyzyv/49WX4oP8JpOR+/5+G1se/1/KNXInlbFq8252rKvhwuvOJMvXji03h4banuSeWwB5E0opn5iPb+dubEX5PP7kMhp3NqZca/ZJM1l49lE8+I8n+c+zr5GRmc43v3UFY4wmtkaiBAM6/3v0LeacOpvMinSqQ2F0TUOfNIFXHniN0slljJlexX0/+OeAqbWnX3kaBiHYsnorZQuqELokLyubFS+tpL2pnXmnHUVmYQatnZ1s3rwNh9VOTlomIiqRbgO3/urP+Ly9W6Pc9MOv8+4j8U0RJ82fyNRjprD2rY/Iys9g0YXHUlvbiB7QeODnD6bUw2KzcOO93yVnkL3KFAVUYqsDIuoPEAuG0KMxzE5HynqHWDCEFo6gGQzs3tqAt6OH7vYelr2yAofHzqmXLqZqWjUGATF/gIgmaa5rI+gLkl2YTUFFvD9cj8UIdXbjr28BXScaCGLxuMiYUEVtQyfLlnzIunfjH7rLXlnB2BnVTDtmCgKo6/Hxhc9fwFuPvEkoEMZgNHDiRcezcdkm6rbVM2HuePLL8lhwzASk10/zB2uS9e9ZtwnbmCru+9N/WPCZeYyZWc3atz5KBhGAlW+soXJCCdkmIzKm4Q5HWf7uKo495ige/s2jBH0hwrHIgHGBhrom8vKy+PUv/8Sl553L8heWA/FBc683QKZl4BcZGQqTlulmzMRSYg2p+UhirR2cdNxRyUBy7IkLeOo/r3DqCUfR8v4WooEw2WOLMeRmsOvZdzjunIXkOY1EuzSCDU1UL5pLRnUh3to2MgozyCzNpuXteJ30YIii8rwBgSQtO52Vr6ziis8cxwWnHYtR06CpDXI9PPn3JzjlpOPjv6MlH3Ldr68ktvojDBYzvtYeatbvomb9Lnqau5m8YBIfvbMueV1hEGTmZfDIrY8xZ/Essj3pfP36H6FrGtd/80qmVBfy2mNLCfTEf6cnXXICm1ZsZu2W+HqVBZ9dwFHzZ7J0ydvYbFau+solNG/qrfv69zYwfdE0Trz4eErGlmBzWMktzE2pwx6RUGTAoktFGarDPpAIIU4F/ggYgb9LKW/5mFP2i65p+OuaiPT4aFm5Dj0SxWAxU7BwFv6mVpwFubQs/4io14c1Kx09O4+2xnZevO/l5DXuWns3X/vdV7C2NhExW9lW380rDy4hFomRkZvOpTdeQvXUCjo3bkfK+NTVzo29uR+cRflEre5kENljy6ptnH7FqXR5g2TmZvGfO18gFEjkx9B0Xnt0Kad/8VTqttWzcdkmph87lcDOWqxp7oE32t7OmCkVvPLgEgoqCtjVd9V1wvaNuymclE+4sxvdIAgEAoT9EYKJzQjdnoGb71msFtI8LpoaWjA5UhfICV0iBtkS3l1dhl67rn/epySr1YLBYOCk0xYxd+EMbv7hH9i+fTc3fu9aHBYbG1dvhR4/X/nVVTiDPfRs3glCYC0p5M3nP2DFm2u5/jdfonl3M55I7xTSSEcXRy2azPrlmwn64hs65hTnkFWYyYZlLRjy8zC2tSH9MQJ52bz4+nu0tLQT88U/gOPdkPFrZUyooqOutyW1+o01nH7Fqei6zoYPNpKek86x5x7NKw+8islsoqCigBf++iK/+cOPuf22v3HH7/7OzbfcyLRjp7Bp+RbKJ5Qy9egpzD5xFk//+Rm2fLiVnSt3cPlV53POuaeRnuXhuTufo6U2dVt3s9lI9bSqlEHz3JJcrHZrvOWcMGZGNVl5I7cKXTmyHdaBRAhhBP4MLAbqgOVCiOeklBsO1HuEOroJNLXRsWEremJ/JD0SpeF/yyladBQNby5Dj8XLw+1dmCNRLMbUD0cpJRs/2Mg4lyRSXsEL9/bustrZ0sWTf3qaL//fFXRv20Xa2HI6N+1IOd9f34RtUtag9ZNSYjEZcZgseDu8A16L9dnTyWA0oPnDGHMH+cCwmPF1x7/5tje0UTy2iF2bUoNJWVURUZ8XYTTSEtOor23CmebAYrMQCUVwCDOXXXEeD/yzdyzhG9++kldefAOL1YLJ2NuXXTquBEMoys6V25hw/Ey61m1Bj0RIH1eB1HXao934TRJnZjrRjq7eauZmkZmdyx/++DM8WR662nq49bYf07itkQd+GV9lfcG3P4s36OejrVsxGw2Mnz4RgyZ4+V9v4e0KcNlNl2BBw5zmZPm6rYyxmJNrXeTOnVz7i8tob+6i0+dn267d3HXPA8RiMbZ31nL2hafxzItv8O6by5gyfSLXfvly/vvAUgBmLJrG7q31jJ02BZHpptDmwuawJoP7i/98mSt+8gXO/9p5hAMh6rbVc/wFi8gvz+fDpR/i6/Kx+c2N/OQnN9BY20TDhnomzZnIonOPIbcoF7MtHoiv/NnlrHjtQ+q21vHmU+/Q3tBGVmEWZePLUgLJ1KOnUDll4C4DeaW5XHfbl3n2r/+hbns904+ZysmXnoTNqfKhK5/MYR1IgLnANinlDgAhxGPA2cABCySR7h4wiGQQ2UPGNLRIJBlE9oh6/eRW5dOfxWpC6mE623oGvNa4swlvl5+oLxDfJn2QcausbDclY4up3dK7KV5BeR55JdnYjGDTo6Rlp9Hd1vstWAiBKZFQyGK34PI4cGaVYDQZ4/m5w3vGKwzE0jLYuibeCnKmOZHEP3CaE7OcqqZUUDmplGBbG00+P7/4+Z84/3NnosV0LvjaOTz2h6d47r4lXHD9Zzhq9mTa2rvIL8zDFwhy26/+yo0/+RrTp08iNzsbLRajbGwJTVvq8Nms3PGzh5m2YCIOl51ZWdmEtu7g+NmTeeiZJcyeOYkp5cVYw2Fwudm+u508T4zS7DRq2jvpafWx9KGlyXvOK8ultaODH3z3V8myH998A1PGjKFkfBlt9W089ocnOeuaM0jL9fCvp17hysvOpcBqxhyL4bVaiUXDtNS24Nc1fD4/DoeNYxbOZNaYcopys5j+6+/Q3e2jaXsjm5dvpXxiOeUTywj0BPB5g4SMZvIKc8hz2vnaH67ng5eX0VLbyrzT5zJ+9jicHicARdXx9RlaTKNhewOLLzkRXdN568n/UTW1krO/dAZ5pQOTOjk9TrKLsnnyjt6A7evyc84fz2TK0VPYvWk3JWOLqZxcQXpO+oDzASonV3Dtb64hGAjhTncl/ztRlE/isB5sF0KcD5wqpfxS4vkXgKOklF/td9w1wDUApaWls3bt2jXk9/DWNhJoaqV97Wak1jvrRxgMFC6aS/1/30+tk9GIY9Y0fv+tv/Zm3nPa+NKNFxLbuJnY2PH8/Wf3p5yTVZDFV2+7muaX3qDw2Dl0btxOsKU9+brRbqXkpAU01Hey5r2NbPlwK2OmlDNtRgV6XR1Zk8fSvW03wYxsHvrjMwS8AUxmI6ddfipr3l6LAD7zhcWY7Fbqt9YxtjoPi9mIHtOQCJpae3jq3lfobOmienoVY2eMITM/Ey0aQ9N0HE4b9ARpXLGZjGlltPt9FI4pQSIwW8y4enrQ3B7WrN2GZtCJhIOUlBTgC0cIhcJUlhfhbu1Az81n26Y6/vuvN/Fkeph78mxefuDV5O/p+AsW4XA7qJpcjtA1pMlATyiE1WRmywdbaGto46iT51BYnMHWHbv5w+//wbGL5nHMwrnUbanH5rSRW5KLI91BR2cnLc2tpLncuC02cnMzaO/w4esJkJ6ThsFgoHhMMZs2beO6y79Hbn42mVkZFBbn87nPn8PapWsxmU0UVRWhazHGTColKz8Li8eFSGwKuO699Tx5x9OkZ6dTv6MBXdP5yi1XM2Z69ZD/+9qjp9PLttXb+Ojd9ZSMLWbSvInkleTu9fhoJMrO9TV8uHQVDreDacdOpXRciUpJq4yYfQ22H+6B5ALglH6BZK6U8mt7O2d/Z23FAiGalq/B6nbR+uH6eK4KIciZMZFwVw8Gk4muLTuTx1vHVPHKCyuYeNREvF1eXGlOxs0aS5rNxK4X38BaUcaaTY288WR8sNhqt3Llzy5nwpxx9NTU0fDWCgqOnom/rhlfXRP23ExyZk7Gnp1B1B8kGgyiSYi2dtC8bA0yppE+sQpXUT7tazcTszsICROe3HRESysRDFidNnpikh5vmA3vb8Sd4Wby/Amsf38DuoTpx06jLbENiTPNgdFsIuwLUlhZgMFoYOtLK2hc29vdll6Rx/tttRSWFjBh8jjCoRBV5cWs27CNm264OXlcRXUZd/79ZtLN8VaWBDo6g+ze3sjTf36G3JIcZh4/A4fHQSwSY+XrH3LUqXNZ9eZqTr/8JNo6O+nxBiitKqaiohSDyYgeDBFoaUNGYuBx4czKwOaMZ0yMhCIYDAZMlt5v150tnTTWNGEyGckvy8fhtqPrMmUm3Y5tu9hdU4fL5aRqTDnRaIzm+hZ6WnsI+0IUVRZSOakCszV1jCcaibJtzXa2fLgFk9kcX7PzCYKIohwOjuRAMh/4mZTylMTzmwCklL/e2zmfZPpvLBAi1NWN1LT4rC2Xk6gvQOfGbbhLCzF73MhoFKwWWtp8+L3xD+Hc4t7kPVJKQu1dRLp70K1W2lq9+HsC5JbmUlhRkDwu0uMjFgpjdtoRBgMGsyklK2Bf4S4vILF4XPHxkGAIPaZhslkx2ax4WzsJdPvwByIYLSbWf7CRjoYOZhw/naqplZgtZgxGA94OL7Vb6giHwmTkZlBUVYjZaiYaDBGLRPF1+unc2UT79gYyK/Ih3YEvFKK4tJD8Pl0voVCY9Ws3seGjLWRlZzBl+kRKygrj969pxIJ+YgE/mK10dgTpbvdic9roauuis7mLsgmlFFTkE4tquNKcajtwRTmEHMmBxARsAU4E6oHlwCVSyvV7O+dgrCNRFEU50hyx60iklDEhxFeBV4hP/71vX0FEURRFOfAO60ACIKV8EXhxtOuhKIryaaU6oRVFUZRhUYFEURRFGRYVSBRFUZRhUYFEURRFGZbDevrvJyGEaAWGvrR937KBto896vCm7vHI8Wm4T3WPI6dMSpkz2AufukByIAkhVuxtXvWRQt3jkePTcJ/qHkeH6tpSFEVRhkUFEkVRFGVYVCAZnrtHuwIHgbrHI8en4T7VPY4CNUaiKIqiDItqkSiKoijDogKJoiiKMiwqkOwHIYRRCLFKCPF84nmmEGKJEGJr4mfGaNdxuAa5x9uEEJuEEGuFEP8WQqSPchUPiP732af8O0IIKYTIHq26HSiD3aMQ4mtCiM1CiPVCiFtHs34HwiD/vU4XQrwvhFgthFghhJg72nUcLiFEjRDioz33lCg7pD57VCDZP98ANvZ5fiPwupRyDPB64vnhrv89LgEmSymnEs/9ctOo1OrA63+fCCFKgMXA7lGp0YGXco9CiOOBs4GpUspJwG9Hq2IHUP+/463Az6WU04GfJJ4fCY6XUk7vs37kkPrsUYFkiIQQxcBngL/3KT4b2JOA/X7gnINcrQNqsHuUUr4qpYwlnr4PFI9G3Q6kvfwtAf4AfA847Geg7OUerwVukVKGAaSULaNRtwNlL/coAU/icRrQcLDrdZAcUp89KpAM3e3EP2T0PmV5UspGgMTP3FGo14F0OwPvsa8rgZcOWm1Gzu30u08hxFlAvZRyzWhV6gC7nYF/y7HAMUKID4QQbwoh5oxKzQ6c2xl4j98EbhNC1BJvcR0JLWgJvCqEWCmEuCZRdkh99qhAMgRCiDOAFinlytGuy0j5uHsUQvwQiAEPH9SKHWCD3acQwgH8kHhXyGFvH39LE5ABzAO+CzwhhBAHu34Hwj7u8VrgW1LKEuBbwL0HvXIH3kIp5UzgNOB6IcSxo12h/g77DIkHyULgLCHE6YAN8AghHgKahRAFUspGIUQBcDh3FQx6j1LKS4UQlwNnACfKw3/h0YD7BB4EKoA1ic/VYuBDIcRcKWXTqNX0k9vbf691wNOJv+EyIYROfAPA1tGr6ie2t3s8k/i4CcC/GNh9ediRUjYkfrYIIf4NzOVQ++yRUqp/+/EPOA54PvH4NuDGxOMbgVtHu34jcI+nAhuAnNGu10jeZ7/yGiB7tOs3An/LrwC/SDweC9SSWJR8OP/rd48bgeMSj08EVo52/YZ5b07A3efxu4n/Jw+pzx7VIhmeW4h3D1xFfKbPBaNcn5FwJ2AFliS+rb8vpfzK6FZJ+YTuA+4TQqwDIsDlMvFJdAS5GvijEMIEhIBrPub4Q10e8O/E/3sm4BEp5ctCiOUcQp89aosURVEUZVjUYLuiKIoyLCqQKIqiKMOiAomiKIoyLCqQKIqiKMOiAomiKIoyLCqQKIqiKMOiAomiHIKEEJcntgjfmthZQFEOWWodiaIcYoQQmcAKYDbxDftWArOklJ2jWjFF2QvVIlGUg0QI8RshxHV9nv9MCPHtQQ49BVgipexIBI8lxLfFUJRDkgokinLwPAZc1Of5hcQ3FuyviPg+WHvUJcoU5ZCk9tpSlINESrlKCJErhCgEcoBOKeVg2RgH29pd9UErhyzVIlGUg+tJ4HziLZPH9nJMHVDS53kxR26mP+UIoAbbFeUgEkJMAu4hngdkkUxkuet3TCbxAfaZiaIPiQ+2dxy0iirKflBdW4pyEEkp1wsh3MTT+g4IIoljOoQQ/wcsTxT9QgUR5VCmWiSKoijKsKgxEkVRFGVYVNeWoowSIcQU4vni+wpLKf+/HTumAQCAYRgGa/yZjcNy7LER9IvU+dgDV64tABLXFgCJkACQCAkAiZAAkCy/BGDaohRD5AAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fit(train_data,test_data)\n",
    "train_data['cluster'] = model.labels_\n",
    "sns.scatterplot(x = 'v_0', y = 'price', hue = 'cluster', data = train_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "y1 = train_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'#MaxAbs标准化\\nmaxabs_scaler = preprocessing.MaxAbsScaler()\\nx2 = maxabs_scaler.fit_transform(y2)\\n#Z-Score标准化\\nzscore_scaler = preprocessing.StandardScaler()\\nx3 = zscore_scaler.fit_transform(y3)\\n#Robust标准化\\nrobust_scaler = preprocessing.RobustScaler()\\nx4 = robust_scaler.fit_transform(y4)'"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#数据标准化\n",
    "from sklearn import preprocessing\n",
    "#Max-Min标准化\n",
    "minmax_scaler = preprocessing.MinMaxScaler()\n",
    "x1 = minmax_scaler.fit_transform(y1)\n",
    "'''#MaxAbs标准化\n",
    "maxabs_scaler = preprocessing.MaxAbsScaler()\n",
    "x2 = maxabs_scaler.fit_transform(y2)\n",
    "#Z-Score标准化\n",
    "zscore_scaler = preprocessing.StandardScaler()\n",
    "x3 = zscore_scaler.fit_transform(y3)\n",
    "#Robust标准化\n",
    "robust_scaler = preprocessing.RobustScaler()\n",
    "x4 = robust_scaler.fit_transform(y4)'''"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "y1['price'] = x1[:,13:14]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "d:\\kaka\\python\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
      "  warnings.warn(\n",
      "d:\\kaka\\python\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:1382: UserWarning: KMeans is known to have a memory leak on Windows with MKL, when there are less chunks than available threads. You can avoid it by setting the environment variable OMP_NUM_THREADS=4.\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='v_0', ylabel='price'>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fit(y1[['price','v_0']])\n",
    "y1['cluster'] = model.labels_\n",
    "sns.scatterplot(x = 'v_0', y = 'price', hue = 'cluster', data = y1)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Brich聚类"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_data = pd.read_csv(\"D:\\\\下载\\\\data\\\\train.csv\", sep=' ')\n",
    "train_data['notRepairedDamage'].replace('-', np.nan, inplace=True)\n",
    "train_data = train_data.dropna(axis = 0)\n",
    "del train_data[\"seller\"]\n",
    "del train_data[\"offerType\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_data = train_data.head(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import Birch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-17 {color: black;background-color: white;}#sk-container-id-17 pre{padding: 0;}#sk-container-id-17 div.sk-toggleable {background-color: white;}#sk-container-id-17 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-17 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-17 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-17 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-17 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-17 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-17 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-17 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-17 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-17 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-17 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-17 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-17 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-17 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-17 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-17 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-17 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-17 div.sk-item {position: relative;z-index: 1;}#sk-container-id-17 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-17 div.sk-item::before, #sk-container-id-17 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-17 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-17 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-17 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-17 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-17 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-17 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-17 div.sk-label-container {text-align: center;}#sk-container-id-17 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-17 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-17\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>Birch(n_clusters=5)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-17\" type=\"checkbox\" checked><label for=\"sk-estimator-id-17\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">Birch</label><div class=\"sk-toggleable__content\"><pre>Birch(n_clusters=5)</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "Birch(n_clusters=5)"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf = Birch(n_clusters=5)\n",
    "clf.fit(train_data[['price','power']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_pred = clf.predict(train_data[['price','power']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x18282251e20>"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(train_data['power'],train_data['price'],c = clf.labels_,marker='.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [],
   "source": [
    "birch = Birch(n_clusters=10,threshold=1.7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-19 {color: black;background-color: white;}#sk-container-id-19 pre{padding: 0;}#sk-container-id-19 div.sk-toggleable {background-color: white;}#sk-container-id-19 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-19 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-19 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-19 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-19 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-19 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-19 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-19 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-19 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-19 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-19 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-19 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-19 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-19 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-19 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-19 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-19 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-19 div.sk-item {position: relative;z-index: 1;}#sk-container-id-19 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-19 div.sk-item::before, #sk-container-id-19 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-19 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-19 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-19 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-19 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-19 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-19 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-19 div.sk-label-container {text-align: center;}#sk-container-id-19 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-19 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-19\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>Birch(n_clusters=10, threshold=1.7)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-19\" type=\"checkbox\" checked><label for=\"sk-estimator-id-19\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">Birch</label><div class=\"sk-toggleable__content\"><pre>Birch(n_clusters=10, threshold=1.7)</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "Birch(n_clusters=10, threshold=1.7)"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "birch.fit(train_data[['price','power']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x182840ba1c0>"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(train_data['power'],train_data['price'],c = birch.labels_,marker='.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "import time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [],
   "source": [
    "xs, ys = np.indices([10,10])*5\n",
    "n_centers = np.array(list(zip(xs.reshape(-1), ys.reshape(-1))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [],
   "source": [
    "X, y = make_blobs(n_samples=100000, centers=n_centers, random_state=0)\n",
    "t = time.time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-20 {color: black;background-color: white;}#sk-container-id-20 pre{padding: 0;}#sk-container-id-20 div.sk-toggleable {background-color: white;}#sk-container-id-20 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-20 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-20 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-20 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-20 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-20 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-20 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-20 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-20 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-20 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-20 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-20 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-20 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-20 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-20 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-20 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-20 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-20 div.sk-item {position: relative;z-index: 1;}#sk-container-id-20 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-20 div.sk-item::before, #sk-container-id-20 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-20 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-20 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-20 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-20 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-20 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-20 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-20 div.sk-label-container {text-align: center;}#sk-container-id-20 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-20 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-20\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>Birch(n_clusters=100, threshold=1.7)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-20\" type=\"checkbox\" checked><label for=\"sk-estimator-id-20\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">Birch</label><div class=\"sk-toggleable__content\"><pre>Birch(n_clusters=100, threshold=1.7)</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "Birch(n_clusters=100, threshold=1.7)"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "birch = Birch(threshold=1.7, n_clusters=100)\n",
    "birch.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "25.972904682159424\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(time.time()-t)\n",
    "plt.scatter(X[:,0], X[:,1], c=birch.labels_, marker='.')\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## DBSCAN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_data = pd.read_csv(\"D:\\\\下载\\\\data\\\\train.csv\", sep=' ')\n",
    "train_data['notRepairedDamage'].replace('-', np.nan, inplace=True)\n",
    "train_data = train_data.dropna(axis = 0)\n",
    "del train_data[\"seller\"]\n",
    "del train_data[\"offerType\"]\n",
    "train_data = train_data.head(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_iris\n",
    "X = load_iris().data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import DBSCAN\n",
    "model = DBSCAN(eps=0.08,min_samples=10)\n",
    "model.fit(train_data)\n",
    "result = model.fit_predict(train_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x18285d7fb50>"
      ]
     },
     "execution_count": 142,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(train_data['power'], train_data['price'], c=result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x18285e7dac0>"
      ]
     },
     "execution_count": 143,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(train_data['v_10'], train_data['price'], c=result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x18285cd1bb0>"
      ]
     },
     "execution_count": 135,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fit(X)\n",
    "result = model.fit_predict(X)\n",
    "plt.scatter(X[:,0],X[:,1],c = result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {},
   "outputs": [],
   "source": [
    "X1, y1 = datasets.make_circles(n_samples=2000, factor=.6, noise=.02)\n",
    "X2, y2 = datasets.make_blobs(n_samples=400, n_features=2, centers=[[1.2, 1.2]], cluster_std=[[.1]], random_state=9)\n",
    "X = np.concatenate((X1, X2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x18285ea9ca0>"
      ]
     },
     "execution_count": 146,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fit(X)\n",
    "result = model.fit_predict(X)\n",
    "plt.scatter(X[:,0],X[:,1],c = result)"
   ]
  }
 ],
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